Pith Number

pith:MUJQIEOO

pith:2011:MUJQIEOO6D4R6IGS46IVFWWZR7

not attested not anchored not stored refs pending

The Zieschang-McCool method for generating algebraic mapping-class groups

Llu\'is Bacardit, Warren Dicks

arxiv:1104.5451 v1 · 2011-04-28 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUJQIEOO6D4R6IGS46IVFWWZR7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:07:41.712600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65130411cef0f91f20d2e79152dad98fe27c854588279ae797f843f26f526327

Aliases

arxiv: 1104.5451 · arxiv_version: 1104.5451v1 · doi: 10.48550/arxiv.1104.5451 · pith_short_12: MUJQIEOO6D4R · pith_short_16: MUJQIEOO6D4R6IGS · pith_short_8: MUJQIEOO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MUJQIEOO6D4R6IGS46IVFWWZR7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 65130411cef0f91f20d2e79152dad98fe27c854588279ae797f843f26f526327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87177f3d96e62916fce4d7372af1c3e6f937a4f01b67dca0b03919aedf175b9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-28T17:05:35Z",
    "title_canon_sha256": "78981388851feb7df0915d0679a1dfc56d16ac0480cc5020c3656c8093a18828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5451",
    "kind": "arxiv",
    "version": 1
  }
}